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Catalogue Information
Field name	Details
Dewey Class	515.2433
Title	Theory of Function Spaces II ([EBook]) / by Hans Triebel
Author	Triebel, Hans. , 1936-
Other name(s)	SpringerLink (Online service)
Edition statement	Reprint of the 1992 edition
Publication	Basel : Springer Basel , 2010
Physical Details	VIII, 372 pages : online resource.
Series	Modern Birkhäuser classics
ISBN	9783034604192
Summary Note	Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many well-known function spaces such as Hölder-Zygmund spaces, (fractional) Sobolev spaces, Besov spaces, inhomogeneous Hardy spaces, spaces of BMO-type and local approximation spaces which are closely connected with Morrey-Campanato spaces. Theory of Function Spaces II is self-contained, although it may be considered an update of the author’s earlier book of the same title. The book’s 7 chapters start with a historical survey of the subject, and then analyze the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds. ------ Reviews The first chapter deserves special attention. This chapter is both an outstanding historical survey of function spaces treated in the book and a remarkable survey of rather different techniques developed in the last 50 years. It is shown that all these apparently different methods are only different ways of characterizing the same classes of functions. The book can be best recommended to researchers and advanced students working on functional analysis. - Zentralblatt MATH.:
Contents note	How To Measure Smoothness -- The Spaces and :Definit -- Atoms, Oscillations, and Distinguished Representations -- Key Theorems -- Spaces on Domains -- Mapping Properties of Pseudodifferential Operators -- Spaces on Riemannian Manifolds and Lie Groups.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0346-0419-2
Links to Related Works	Subject References: Function spaces . Science, general . Authors: Triebel, Hans. 1936- . Corporate Authors: SpringerLink (Online service) . Series: Modern Birkhäuser classics . Classification: 515.2433 .

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Theory of Function Spaces II

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